Mathematics

Function composition chains operations from right to left, so you'll apply $f$ first, then $g$ to that result, then $h$ to that result. The key is tracking which piece of $f$ you're using—split into cases $x < 0$ and $x \geq 0$—then simplify $|f(x)|$ and finally substitute into $h$. You'll end up with a piecewise function where each piece corresponds to one of the original cases for $x$.

Function composition chains operations from right to left, so you'll apply $f$ first, then $g$ to that result, then $h$ to that result. The key is tracking which piece of $f$ you're using—split into cases $x < 0$ and $x \geq 0$—then simplify $|f(x)|$ and finally substitute into $h$. You'll end up with a piecewise function where each piece corresponds to one of the original cases for $x$.